42078720 has 80 divisors (see below), whose sum is σ = 134544960. Its totient is φ = 11218944.

The previous prime is 42078719. The next prime is 42078737. The reversal of 42078720 is 2787024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4941 + ... + 10419.

It is an arithmetic number, because the mean of its divisors is an integer number (1681812).

Almost surely, 2^42078720 is an apocalyptic number.

42078720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67272480).

42078720 is an abundant number, since it is smaller than the sum of its proper divisors (92466240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42078720 is an equidigital number, since it uses as much as digits as its factorization.

42078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 42078720 is about 6486.8112351139. The cubic root of 42078720 is about 347.8196978537.

The spelling of 42078720 in words is "forty-two million, seventy-eight thousand, seven hundred twenty".